What is |2(-7.5)| ?​

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

your answer is y=-8 for sure

\(x-y=1\\x=1+y........(3) equation\)

5.I derived the third equation from the second equation therefore I will substitute the above equation x=1+y in the first equation .Mind you to derive the third equation I made x the subject of the equation in the second equation. You can use any equation to derive the third equation. I chose to use the second equation because the variable have the coefficient of 1 so it will be very easier foe me without any divisions to leave the variable independent.

I will substitute the equation x=1+y in the equation -3x+3y=3.

If you derived the third equation from the second equation DO NOT substitute in the equation you derived the new equation from.

\(-3(1+y)+3y=3\\-3-3y+3y=3\\-3\neq 3\)

as far as I went you can see that there is no solution for the first problem

No solution

6. Substitute y=-x+4 in the equation 2x-3y=3. In the place of y plug in-x+4

\(2x-3(-x+4)=3\\\\2x+3x-12=3\\5x=3+12\\5x=15\\\)

\(\frac{5x}{5} =\frac{15}{5} \\x=3\\\\y=-(3)+4\\y=1\)

Hope this helps

Answer: the system of equations has no solution

Step-by-step explanation:

\(\displaystyle\\\left \{ {{-3x+3y=3} \atop {x-y=1}} \right. \ \ \ \ \Rightarrow\ \ \ \ \ \left \{ {{-3x+3y=3} \atop {x-y+y=1+y}} \right. \ \ \ \ \ \left \{ {{-3x+3y=3} \atop {x=1+y}} \right.\ \ \ \ \ \Rightarrow \\\\\\\left \{ {{-3x+3y=3} \atop {x-1=1+y-1}} \right.\ \ \ \ \ \Rightarrow\ \ \ \ \ \left \{ {{-3x+3y=3\ \ \ \ (1)} \atop {x-1=y\ \ \ \ (2)}} \right. \\\)

Divide equation (1) by 3:

\(\displaystyle\\\left \{ {{-x+y=1\ \ \ \ \ (3)} \atop {y=x-1\ \ \ \ \ (4)}} \right.\)

Substitute equation (4) into equation (3):

\(-x+x-1=1\\\\-1\neq 1\)

Hence, the system of equations has no solution

Answer:

D. Neither

Step-by-step explanation:

Ok so,

lets plug in the ordered pairs to see if the answer matches up. It should look like this:

7 = -2 - 5

7 = -7      DOES NOT MATCH; INCORRECT

now lets do it with the other ordered pair

-7 = -4 -5

-7 = -9        DOES NOT MATCH; INCORRECT

hope this helps, have a good day!

please mark brainliest if possible!!! :)

Answer:SEARCH UP ON THE INTERNET HEHEH

Step-by-step explanation:

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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The appropriate conclusion would be to "Do not reject the null hypothesis at α=0.05 level."

In hypothesis testing, the null hypothesis is assumed to be true until there is sufficient evidence to reject it. The level of significance, α, is the probability of rejecting the null hypothesis when it is true. The p-value is the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true.

In this case, since the p-value (0.061) is greater than the level of significance (0.05), there is not enough evidence to reject the null hypothesis at the 0.05 level of significance. Therefore, the appropriate conclusion would be to "Do not reject the null hypothesis at α=0.05 level." This means that the data does not provide enough evidence to support the alternative hypothesis, and we can't say for sure that the null hypothesis is false.

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The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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Answer:

10/16

Step-by-step explanation:

Theres only 16 possible marbles you could get out of the bag and ten marbles that you want. 10/16

Answer:

\(x=65\)

Step-by-step explanation:

Area of a triangle is always 180 degrees...

In this triangle we have two values given, lets make an equation & solve it:

\(x+68+47=180\)

\(x+115=180\)

\(x=180-115\)

\(x=65\)

To check if you have the right answer, add all the angles to get 180:

\(68+47+65=180\)

Therefore, x = 65

I hope this help :)

\(\huge\bold{Given :}\)

Angle ABC = \(x\)

Angle BAC = 68°

Angle BCA = 47°

\(\huge\bold{To\:find :}\)

The measure of angle ABC \(''x"\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\longrightarrow{\green{x\:=\:65°}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}\)

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ \(x\) + 68° + 47° = 180°

➪ \(x\) + 115° = 180°

➪ \(x\) = 180° - 115°

➪ \(x\) = 65°

Therefore, the measure of ∠ ABC is 65°.

Hence, the three angles of the triangle are 65°, 68° and 47° respectively.

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 65° + 68° + 47° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\(\boxed{Hence\:verified.}\)

(Note:- Kindly refer to the attached file.)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

by definition a capable process is one that is operating at the so called  capability sigma level

The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly different when it comes to the number of defects present, which is a true statement because as we know process sigma indicates the process variation and is measured in terms of data units, while process sigma count Z, or process sigma level, is a count with no unit of measure and sigma is a statistical term that measures how much a process varies from perfection, based on the number of defects per million units. And also we know that a six sigma process is 1 in which 99.99966 percent of all chances to provide some characteristics of a part are statistically assumed to be free regarding defects.

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Answer: The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try.

The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The volume of the rectangular prism is given by:

V = L×W×H

Here, V is the volume of the rectangular prism

L is the length of the rectangular prism

W is the width of the rectangular prism

H is the height of the rectangular prism

From the figure:

L = 6 cm

W = 7 cm

H = 6 cm

V = 6x7x6

or

V = 6x6x7

Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

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Answer:

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.

Some real life examples of slope include:

The values of a and b if the coordinate is rotated 90° clockwise is -1 and -1

The rotation is a transformation technique that changes the position of an object in an xy plane. If the coordinate (x, y) is rotated 90° clockwise, the resulting coordinate will be at (-y, x)

If the coordinate (-1, 1) is therefore rotated 90° clockwise about the origin, the resulting coordinate will be (-1, -1).

Comparing

a = -1 and b = -1

Hence the values of a and b if the coordinate is rotated 90° clockwise is -1 and -1

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if we get the area of the 6x2.4 rectangle, and then subtract the area of the rectangle inside, the 2x4.4 one, what's leftover, is the part we didn't subtract, namely, the shaded part.

\(\stackrel{ \textit{containing rectangle} }{(6)(2.4)}~~ - ~~\stackrel{ \textit{inner rectangle} }{(2)(4.4)}\implies 14.4~~ - ~~8.8\implies \text{\LARGE 5.6}~cm^2\)

Answer:

33/2

Step-by-step explanation:

6 * 11/4 = 66/4 = 33/2

The probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is 0.2355.

We are given that the loss under a liability policy is modeled by an exponential distribution. This means that the amount of the loss that exceeds the deductible follows an exponential distribution.

The insurance company will cover the amount of the loss in excess of a deductible of 2000. So, we are interested in calculating probabilities related to the reimbursement amount (Y) given that the loss exceeds the deductible.

We are given that the probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Mathematically, this can be expressed as:

P(Y ≤ 6000 | X > 0) = 0.50

where X is the amount of the loss that exceeds the deductible.

Using the memoryless property of the exponential distribution, we can rewrite the probability as:

P(X ≤ 4000) = 0.50

This is because P(Y ≤ 6000 | X > 0) is equivalent to P(X ≤ 4000) since the deductible is 2000.

From the given probability, we can determine the parameter λ of the exponential distribution. We have:

P(X > 2000) = e^(-λ*2000) = 0.5

Solving for λ, we find:

λ = ln(0.5)/(-2000) ≈ 0.00034657

Now, we want to calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible:

P(3000 < Y ≤ 9000 | X > 0)

Using the memoryless property, we can rewrite this as:

P(X > 1000) - P(X > 7000)

Substituting the value of λ we found earlier, we have:

P(3000 < Y ≤ 9000 | X > 0) = e^(-λ1000) - e^(-λ7000)

Plugging in the value of λ, we can calculate the probability:

P(3000 < Y ≤ 9000 | X > 0) ≈ e^(-0.34657) - e^(-2.426) ≈ 0.3226 - 0.0871 ≈ 0.2355

Therefore, the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is approximately 0.2355.

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Answer:

7$ dollars per hour

Step-by-step explanation:

Answer:

C matches the graph the best

Step-by-step explanation:

Answer:

140 cookies were sold

Answer:

t = (D/C - 1) (100/r)

Step-by-step explanation:

D = C(1+rt/100)

D/C = 1 + rt/100

D/C - 1 = rt/100

D/C - 1 = t (r/100)

Therfore,

Therefore the last option is correct.

Answer: t = (D/C - 1) / r/100

Step-by-step explanation:

Answer:

the answer is 1 if i read this right

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

First Multiply and Divide (left to right)

3 divide by 1/3

Convert the element into a fraction:

=3/1 divided by 1/3

Apply the fraction rule:

=3/1 * 3/1

Apply rule a/1:

=3*3

Multiply the numbers: 3*3=9

=9

=9-9+1

Add and subtract (left to right):

9-9+1

9-9=0

=0+1

0+1=1

=1

Answer: 1) 8r+7t

2)8(r-t)     3)8(r+t

Step-by-step explanation:

The values x = 2 and x = -2 are excluded from the expression since they make the denominator zero, resulting in undefined values.

To determine the values that are excluded in the expression (x² + 4) / (x² - 4), we need to find the values of x for which the denominator becomes zero. The denominator (x² - 4) becomes zero when x = 2 or x = -2.

When x = 2, the expression becomes (2² + 4) / (2² - 4) = 8 / 0, which is undefined. Similarly, when x = -2, the expression becomes (-2² + 4) / (-2² - 4) = 8 / 0, also undefined.

Therefore, the values x = 2 and x = -2 are excluded from the expression since they make the denominator zero, resulting in undefined values.

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▪︎Side 15 cm, 18 cm and x cm form a right angle triangle.

We know that :

\( =\tt {hypotenuse}^{2} = {leg}^{2} + {leg}^{2} \)

Which means :

\( =\tt {15}^{2} + {x}^{2} = {18}^{2} \)

\( =\tt 225 + {x}^{2} = 324\)

\( =\tt {x}^{2} = 324 - 225\)

\( = \tt {x}^{2} = 99\)

\(\color{plum} =\tt x = 9.9 \: cm\)

Thus, x (radius) = 9.9 cm

We know that :

\(\color{hotpink}\tt \: Surface \: area \: of \: cone \color{plum}=\pi r(r + \sqrt{ {h}^{2} + {r}^{2} } \)

Then, the surface area of this cone :

\( = \tt3.14 \times 9.9 \times( 9.9 + \sqrt{ {15}^{2} + {9.9}^{2} } )\)

\( =\tt 3.14 \times 9.9 \times( 9.9 + \sqrt{323.01} )\)

\( =\tt 3.14 \times 9.9 \times (9.9 + 18)\)

\( =\tt 3.14 \times 9.9 \times 27.9\)

\( = \tt31.09 \times 27.9\)

\(\color{plum} =\tt\bold{ 867.4 \: cm}\)

Therefore, the surface area of this cone = 867.4 cm